What is the Greatest Common Factor of 18700 and 18714?

Greatest common factor (GCF) of 18700 and 18714 is 2.

GCF(18700,18714) = 2

We will now calculate the prime factors of 18700 and 18714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18700 and 18714.

How to find the GCF of 18700 and 18714?

We will first find the prime factorization of 18700 and 18714. After we will calculate the factors of 18700 and 18714 and find the biggest common factor number .

Step-1: Prime Factorization of 18700

Prime factors of 18700 are 2, 5, 11, 17. Prime factorization of 18700 in exponential form is:

18700 = 2² × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 18714

Prime factors of 18714 are 2, 3, 3119. Prime factorization of 18714 in exponential form is:

18714 = 2¹ × 3¹ × 3119¹

Step-3: Factors of 18700

List of positive integer factors of 18700 that divides 18700 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85, 100, 110, 170, 187, 220, 275, 340, 374, 425, 550, 748, 850, 935, 1100, 1700, 1870, 3740, 4675, 9350

Step-4: Factors of 18714

List of positive integer factors of 18714 that divides 18700 without a remainder.

1, 2, 3, 6, 3119, 6238, 9357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18700 and 18714. The biggest common factor number is the GCF number.
So the greatest common factor 18700 and 18714 is 2.

Also check out the Least Common Multiple of 18700 and 18714